 2.3.1: Let A and B be events with P(A) = 0.8 and P(A B) = 0.2. For what va...
 2.3.2: Let A and B be events with P(A) = 0.5 and P(A Bc ) = 0.4. For what ...
 2.3.3: A box contains 15 resistors. Ten of them are labeled 50 and the oth...
 2.3.4: Refer to Exercise 3. Resistors are randomly selected from the box, ...
 2.3.5: On graduation day at a large university, one graduate is selected a...
 2.3.6: The article Integrating Risk Assessment and Life Cycle Assessment: ...
 2.3.7: Suppose that startup companies in the area of biotechnology have p...
 2.3.8: Suppose that startup companies in the area of biotechnology have p...
 2.3.9: Of people in a certain city who bought a new vehicle in the past ye...
 2.3.10: Of all failures of a certain type of computer hard drive, it is det...
 2.3.11: In the process of producing engine valves, the valves are subjected...
 2.3.12: Sarah and Thomas are going bowling. The probability that Sarah scor...
 2.3.13: A particular automatic sprinkler system has two different types of ...
 2.3.14: Laura and Philip each fire one shot at a target. Laura has probabil...
 2.3.15: A population of 600 semiconductor wafers contains wafers from three...
 2.3.16: Refer to Exercise 15. Let E1 be the event that the wafer comes from...
 2.3.17: A geneticist is studying two genes. Each gene can be either dominan...
 2.3.18: A car dealer sold 750 automobiles last year. The following table ca...
 2.3.19: The following table presents the 100 senators of the 113th U.S. Con...
 2.3.20: An automobile insurance company divides customers into three catego...
 2.3.21: Nuclear power plants have redundant components in important systems...
 2.3.22: Refer to Exercise 21. Is it possible for the probability that both ...
 2.3.23: A lot of 10 components contains 3 that are defective. Two component...
 2.3.24: A lot of 1000 components contains 300 that are defective. Two compo...
 2.3.25: In a lot of n components, 30% are defective. Two components are dra...
 2.3.26: A certain delivery service offers both express and standard deliver...
 2.3.27: Each day, a weather forecaster predicts whether or not it will rain...
 2.3.28: Items are inspected for flaws by two quality inspectors. If a flaw ...
 2.3.29: Refer to Exercise 28. Assume that both inspectors inspect every ite...
 2.3.30: Refer to Example 2.26. Assume that the proportion of people in the ...
 2.3.31: Sicklecell anemia is an inherited disease in which red blood cells...
 2.3.32: A qualitycontrol program at a plastic bottle production line invol...
 2.3.33: Refer to Example 2.26. a. If a man tests negative, what is the prob...
 2.3.34: A system consists of four components connected as shown in the foll...
 2.3.35: A system consists of four components, connected as shown in the dia...
 2.3.36: A system contains two components, A and B, connected in series, as ...
 2.3.37: A system contains two components, C and D, connected in parallel as...
 2.3.38: If A and B are independent events, prove that the following pairs o...
Solutions for Chapter 2.3: Conditional Probability and Independence
Full solutions for Statistics for Engineers and Scientists  4th Edition
ISBN: 9780073401331
Solutions for Chapter 2.3: Conditional Probability and Independence
Get Full SolutionsThis textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. Since 38 problems in chapter 2.3: Conditional Probability and Independence have been answered, more than 288825 students have viewed full stepbystep solutions from this chapter. Chapter 2.3: Conditional Probability and Independence includes 38 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions.

2 k factorial experiment.
A full factorial experiment with k factors and all factors tested at only two levels (settings) each.

Asymptotic relative eficiency (ARE)
Used to compare hypothesis tests. The ARE of one test relative to another is the limiting ratio of the sample sizes necessary to obtain identical error probabilities for the two procedures.

Average run length, or ARL
The average number of samples taken in a process monitoring or inspection scheme until the scheme signals that the process is operating at a level different from the level in which it began.

C chart
An attribute control chart that plots the total number of defects per unit in a subgroup. Similar to a defectsperunit or U chart.

Central limit theorem
The simplest form of the central limit theorem states that the sum of n independently distributed random variables will tend to be normally distributed as n becomes large. It is a necessary and suficient condition that none of the variances of the individual random variables are large in comparison to their sum. There are more general forms of the central theorem that allow ininite variances and correlated random variables, and there is a multivariate version of the theorem.

Chisquare test
Any test of signiicance based on the chisquare distribution. The most common chisquare tests are (1) testing hypotheses about the variance or standard deviation of a normal distribution and (2) testing goodness of it of a theoretical distribution to sample data

Completely randomized design (or experiment)
A type of experimental design in which the treatments or design factors are assigned to the experimental units in a random manner. In designed experiments, a completely randomized design results from running all of the treatment combinations in random order.

Conditional probability density function
The probability density function of the conditional probability distribution of a continuous random variable.

Continuity correction.
A correction factor used to improve the approximation to binomial probabilities from a normal distribution.

Covariance matrix
A square matrix that contains the variances and covariances among a set of random variables, say, X1 , X X 2 k , , … . The main diagonal elements of the matrix are the variances of the random variables and the offdiagonal elements are the covariances between Xi and Xj . Also called the variancecovariance matrix. When the random variables are standardized to have unit variances, the covariance matrix becomes the correlation matrix.

Critical region
In hypothesis testing, this is the portion of the sample space of a test statistic that will lead to rejection of the null hypothesis.

Defect
Used in statistical quality control, a defect is a particular type of nonconformance to speciications or requirements. Sometimes defects are classiied into types, such as appearance defects and functional defects.

Deming
W. Edwards Deming (1900–1993) was a leader in the use of statistical quality control.

Distribution function
Another name for a cumulative distribution function.

Error sum of squares
In analysis of variance, this is the portion of total variability that is due to the random component in the data. It is usually based on replication of observations at certain treatment combinations in the experiment. It is sometimes called the residual sum of squares, although this is really a better term to use only when the sum of squares is based on the remnants of a modelitting process and not on replication.

Factorial experiment
A type of experimental design in which every level of one factor is tested in combination with every level of another factor. In general, in a factorial experiment, all possible combinations of factor levels are tested.

Forward selection
A method of variable selection in regression, where variables are inserted one at a time into the model until no other variables that contribute signiicantly to the model can be found.

Fraction defective
In statistical quality control, that portion of a number of units or the output of a process that is defective.

Fraction defective control chart
See P chart

Geometric mean.
The geometric mean of a set of n positive data values is the nth root of the product of the data values; that is, g x i n i n = ( ) = / w 1 1 .